AMS Sectional Meeting Program by Special Session
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1998 Spring Eastern Section Meeting
Philadelphia, PA, April 46, 1998
Meeting #933
Associate secretaries:
Lesley M Sibner, AMS
lsibner@duke.poly.edu
Special Session on Differential Geometric Methods in Hydrodynamics

Saturday April 4, 1998, 8:30 a.m.10:50 a.m.
Special Session on Differential Geometric Methods in Hydrodynamics, I
Room 2B, TUCC
Organizers:
Gerard K. Misiolek, University of Notre Dame and California Institute of Technology gmisiole@artin.helios.nd.edu

8:30 a.m.
Geometric and Topological Aspects of Vortex Knot Dynamics.
Renzo L Ricca*, Department of Mathematics, University College London, UK
(9335897)

9:00 a.m.
Embedding Hamiltonian Systems into Geodesic Systems on Lie Groups.
Toshihiko Ono*, Yukawa Institute for Theoretical Physics
(93370228)

9:30 a.m.
Lagrangian formalism on complex manifolds: Leray residue vs. Stokes formula.
Boris A. Khesin*, University of Toronto/IAS
(93358191)

10:00 a.m.
Jacobi fields in hydrodynamics and some integrable systems.
Tsutomu Kambe*, Department of Physics, University of Tokyo
(93376140)

10:30 a.m.
Algebraicgeometric $n$orthogonal curvilinear coordinate systems.
Igor Krichever*, Department of Mathematics, Columbia University
(93314102)

Saturday April 4, 1998, 2:30 p.m.4:50 p.m.
Special Session on Differential Geometric Methods in Hydrodynamics, II
Room 2B, TUCC
Organizers:
Gerard K. Misiolek, University of Notre Dame and California Institute of Technology gmisiole@artin.helios.nd.edu

2:30 p.m.
Instablity of geodesics on the group of areapreserving diffeomorphisms (motions of fluid) of 2sphere.
Kyo Yoshida*, Department of Physics, Graduate School of Science, University of Tokyo
(93376150)

3:00 p.m.
Hamiltonian Hydrodynamic Type Systems and Riemannian Geometry.
Sergey P. Novikov*, University of Maryland at College Park and Landau Institute for Theoretical Physics, Moscow
(93358119)

3:30 p.m.
Flows on Diffeomorphisms of the Circle, Grassmannians and the Geometry of the Periodic KdV Equation.
Maria E Schonbek, Department of Mathematics, University of California at Santa Cruz
Andrey N Todorov*, Department of Mathematics, University of California at Santa Cruz
Jorge P Zubelli, IMPA, Brazil
(9335893)

4:00 p.m.
Stability and Instability Criteria for Magnetohydrodynamics.
Susan Friedlander*, Mathematics Department, University of Illinois, Chicago
Misha Vishik, Mathematics Department, University of Texas, Austin
(93335100)

4:30 p.m.
Solutions to the Euler equations with unbounded vorticity.
Misha Vishik*, Department of Mathematics, University of Texas at Austin
(93335103)

Sunday April 5, 1998, 8:30 a.m.10:50 a.m.
Special Session on Differential Geometric Methods in Hydrodynamics, III
Room 2B, TUCC
Organizers:
Gerard K. Misiolek, University of Notre Dame and California Institute of Technology gmisiole@artin.helios.nd.edu

8:30 a.m.
Stability of Stationary Flows of an Ideal Incompressible Fluid of Piecewise Constant Density.
Yu. K. Kashaev, Rostov University
Vasiliy I Sedenko*, Department of Fundamental and Applied Mathematics
Victor I Yudovich, Department of Mathematics and Mechanics
(9337699)

9:00 a.m.
On the Riemannian Curvature of an Ideal Continuum Medium with Constraints.
Victor Yudovich*, Department of Mathematics and Mechanics
(9335894)

9:30 a.m.
Motion of Incompressible Inviscid Fluids with Free Boundary and Surface Tension.
David G. Ebin*, State University of New York at Stony Brook
(93335108)

10:00 a.m.
Riemannian geometry of the motion of a thin vortex filament and instability analysis.
Suzuki Katsuhiro*, Department of Applied Physics, Tokyo University of Agriculture and Technology
(93376183)

10:30 a.m.
Topological Euler Equations and Diffeomorphisms Groups.
Rudolf Schmid*, Emory University
(93358205)

Sunday April 5, 1998, 2:30 p.m.3:50 p.m.
Special Session on Differential Geometric Methods in Hydrodynamics, IV
Room 2B, TUCC
Organizers:
Gerard K. Misiolek, University of Notre Dame and California Institute of Technology gmisiole@artin.helios.nd.edu

2:30 p.m.
The Spectral Geometry of Writhe and Helicity.
Jason Cantarella*, University of Pennsylvania
Dennis DeTurck, University of Pennsylvania
Herman Gluck, University of Pennsylvania
(93353135)

3:00 p.m.
${\cal D}^s_\mu(M)$ with weak $H^1$ metric.
Steve Shkoller*, Caltech
(93358165)

3:30 p.m.
On minimal geodesics on groups of volumepreserving maps and the hydrostatic limit of the Euler equations.
Yann Brenier*, Universite Paris 6
(93376252)
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